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Finding the Fourth Proportional to 27,314.27, 40,972.41 and 9,784.07

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Solution

The fourth proportional to 27,314.27, 40,972.41 and 9,784.07 is: 14,676.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.27 : 40,972.41 = 9,784.07 : x
  2. Step 2: Convert to fraction form
    27,314.27/40,972.41 = 9,784.07/x
  3. Step 3: Cross multiply
    27,314.27x = 40,972.41 × 9,784.07
  4. Step 4: Simplify right side
    27,314.27x = 400,876,722.65
  5. Step 5: Solve for x
    x = 400,876,722.65/27,314.27
  6. Step 6: Final answer
    x = 14,676.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.